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Nonlinear Time Scale Systems in Standard and Nonstandard Forms

Nonlinear Time Scale Systems in Standard and Nonstandard Forms

Nonlinear Time Scale Systems in Standard and Nonstandard Forms

Analysis and Control
Anshu Narang-Siddarth, University of Washington
John Valasek, Texas A & M University
June 2014
This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
Hardback
9781611973334
£61.99
GBP
Hardback

    A new perspective on control methods is presented in this book, which broadens their application to a larger class of nonlinear dynamical systems. The aim is to equip the reader with control techniques that extend the benefits of model reduction of singular perturbation theory to engineering systems that possess interacting phenomena occurring at different speeds. New results and relevant background are presented through insightful examples that cover a wide range of applications from different branches of engineering. The book also discusses general rather than problem-specific developments in order to provide control engineers with useful analytical tools. It addresses new control problems using singular perturbation methods, including closed-form results for control of nonminimum phase systems. This text is intended for researchers and practitioners who use time scale methods to mitigate the curse of dimensionality and higher order controllers, especially in aerospace, mechanical, and electrical engineering.

    • This book extends the benefits of model reduction of singular perturbation theory to a larger class of nonlinear dynamical systems
    • Discusses general rather than problem-specific developments in order to provide control engineers with useful analytical tools
    • Addresses new control problems using singular perturbation methods, including closed-form results for control of nonminimum phase systems

    Product details

    June 2014
    Hardback
    9781611973334
    230 pages
    261 × 182 × 17 mm
    0.59kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.

    Table of Contents

    • List of figures
    • List of tables
    • Forward
    • Preface
    • 1. Introduction
    • 2. Analyzing time scale systems
    • 3. Two stage design
    • 4. Sequential design
    • 5. Sequential design for multiple time scale systems
    • 6. Some applications to control of nonminimum phase systems
    • 7. Simultaneously tracking slow and fast trajectories
    • Appendix A. Tools for dimensional analysis
    • Appendix B. Nonlinear F/A-18 HARV aircraft model
    • Bibliography
    • Index.
      Authors
    • Anshu Narang-Siddarth , University of Washington

      Anshu Narang-Siddarth is an Assistant Professor in the William E. Boeing Department of Aeronautics and Astronautics at the University of Washington. She is the recipient of the Distinguished Graduate Student Award for Excellence in Doctoral Research and is an Associate Member of the AIAA Guidance, Navigation, and Control Technical Committee. Her research interests are in nonlinear control theory, singular perturbation methods, and flight mechanics with key emphasis on real-time implementable solutions for control of nonminimum phase, interconnected systems, and nonaffine aerospace applications.

    • John Valasek , Texas A & M University

      John Valasek is Director of the Center for Autonomous Vehicles and Sensor Systems, Professor of Aerospace Engineering, and a member of the Honors Faculty, at Texas A&M University. He has been conducting flight mechanics and control research of manned and unmanned air vehicles in industry and academia for more than 25 years. The author of two recent books – Morphing Aerospace Vehicles and Structures (2012) and Advances in Intelligent and Autonomous Aerospace Systems (2012) – he is an Associate Fellow of the AIAA, a member of the AIAA Guidance, Navigation, and Control Technical Committee, and an Associate Editor of the Journal of Guidance, Control, and Dynamics. His research is focused on bridging the gap between traditional computer science topics and aerospace engineering topics.